Results 11 to 20 of about 8,151 (193)
Invariants of Legendrian Knots and Coherent Orientations
, 2001 We provide a translation between Chekanov's combinatorial theory for invariants of Legendrian knots in the standard contact R^3 and a relative version of Eliashberg and Hofer's Contact Homology. We use this translation to transport the idea of ``coherent
Etnyre, John B. +2 more
core +4 more sources
Parity of the spin structure defined by a quadratic differential [PDF]
, 2004 According to the work of Kontsevich-Zorich, the invariant that classifies non-hyperelliptic connected components of the moduli spaces of Abelian differentials with prescribed singularities,is the parity of the spin structure.
Arf +9 more
core +2 more sources
On distortion under mappings satisfying the inverse Poletsky inequality
Математичні СтудіїAs it is known, conformal mappings are locally Lipschitz at inner points of a domain, and quasiconformal (quasiregular) mappings are locally H ̈older continuous.
E. O. Sevost'yanov +3 more
doaj +1 more source
Classifying representations by way of Grassmannians [PDF]
, 2014 Let $\Lambda$ be a finite dimensional algebra over an algebraically closed field. Criteria are given which characterize existence of a fine or coarse moduli space classifying, up to isomorphism, the representations of $\Lambda$ with fixed dimension $d ...
Huisgen-Zimmermann, Birge
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Multi‐Scale Interface Engineering of MXenes for Multifunctional Sensory Systems
Advanced Functional Materials, EarlyView.MXenes, as two‐dimensional transition metal carbides and nitrides, demonstrate remarkable capabilities for multifunctional sensing applications. This review systematically examines multi‐scale interface engineering approaches that enhance sensing performance, enable diverse detection functionalities, and improve system‐level compatibility in MXene ...
Jiaying Liao, Sin‐Yi Pang, Jianhua Hao
wiley +1 more source
Marked fatgraph complexes and surface automorphisms [PDF]
, 2012 Combinatorial aspects of the Torelli-Johnson-Morita theory of surface automorphisms are extended to certain subgroups of the mapping class groups. These subgroups are defined relative to a specified homomorphism from the fundamental group of the surface ...
Kuno, Yusuke +2 more
core +2 more sources
Cyclic Olefin Copolymers as Versatile Materials for Advanced Engineering Applications
Advanced Functional Materials, EarlyView.Cyclic olefin copolymers (COCs) are presented as highly versatile materials combining tunable synthesis, excellent optical properties, and mechanical robustness. Their potential spans microfluidics, bioengineering, and advanced electronics, while emerging self‐healing and sustainable solutions highlight future opportunities.
Giulia Fredi +3 more
wiley +1 more source
A product structure on Generating Family Cohomology for Legendrian Submanifolds [PDF]
, 2017 One way to obtain invariants of some Legendrian submanifolds in 1-jet spaces $J^1M$, equipped with the standard contact structure, is through the Morse theoretic technique of generating families.
Myer, Ziva
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Mumford dendrograms and discrete p-adic symmetries
, 2008 In this article, we present an effective encoding of dendrograms by embedding them into the Bruhat-Tits trees associated to $p$-adic number fields. As an application, we show how strings over a finite alphabet can be encoded in cyclotomic extensions of $\
A. Yu. Khrennikov +11 more
core +2 more sources
Laser‐Assisted Processing and Modification of Bioactive Glasses: A Review
Advanced Healthcare Materials, EarlyView.Laser technologies provide powerful tools to process and transform bioactive glasses for advanced biomedical applications. This review discusses laser‐matter interaction mechanisms, laser surface engineering, and laser‐assisted fabrication of scaffolds and nanofibers.
Antonio Riveiro +8 more
wiley +1 more source